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7-177.

Given:

  1. Write the equation of the tangent line to at .

    Use point-slope form of a line. will give you the point, and will give you the slope.

  2. Use your tangent line to approximate .

    Since a linear equation is easier to evaluate than a 4th-degree polynomial, use the tangent line to approximate .

  3. Is the approximation an over or under estimate of the actual value?

    Is the graph of concave up or down ?